If the measure of the angles of a traingle are represented by 2x, 3x-15, and 7x+15, the traingle is

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

X=15degrees
The angle measurements are 30, 30, and 120 so it is an isosceles

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Can someone please help on this problem and how it is done? Picture is attached. Thank you

Vikki [24]

The angle passes 90 degrees plus an additional 55 degrees
m

5 0

3 years ago

Solve 7x + 6 < 3(x - 2).

sasho [114]

7x+6=3x-6
+6 +6
7x+12=3x
-3x -3x
4x+12=0
-4x -4x
divide both sides by -4 but you have to flip the sign.
-3>x
or
{x | x < -3}

8 0

3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

3 years ago

The square root of 83 can be platted on the number line below

wel

The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).

8 0

3 years ago

Three times a number, less twice the number and 9 is 17. What is the number?

Harlamova29_29 [7]

I believe your answer is 8.

Three times a number less than twice the number and nine is seventeen can be written as: 3n - 2n + 9 = 17

Solve for n as follows:

3n - 2n = n

n + 9 = 17

17 - 9 = 8

Hope this helps! :)

7 0

3 years ago